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Finding the Third Proportional to 4,677,772 and 10,077,415

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Solution

The third proportional to 4,677,772 and 10,077,415 is: 21,709,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677,772 : 10,077,415 = 10,077,415 : x
  2. Step 2: Convert to fraction form
    4,677,772/10,077,415 = 10,077,415/x
  3. Step 3: Cross multiply
    4,677,772x = 10,077,415 × 10,077,415
  4. Step 4: Simplify right side
    4,677,772x = 101,554,293,082,225
  5. Step 5: Solve for x
    x = 101,554,293,082,225/4,677,772
  6. Step 6: Final answer
    x = 21,709,970.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.